 | Edward Albert Bowser - Geometry - 1890 - 420 pages
...altitude is 20 feet and diameter of the base 8 feet. (612) Proposition 3. Theorem. 757. The volume of a cylinder is equal to the product of its base by its altitude. Hyp. Let V, B, H denote the volume of the cylinder, the area of its base, and its altitude,... | |
 | William Chauvenet - 1893 - 340 pages
...squares of their altitudes, or as the squares of the radii of their bases. PROPOSITION III. The volume of a cylinder is equal to the product of its base by its altitude. Corollary I. For a cylinder of revolution this may be formulated, PROPOSITION IV. If a pyramid... | |
 | William Chauvenet - Geometry - 1894 - 380 pages
...therefore, S 8 H h + r) H+R RH r~h~ H' R* R H+R r ~ h + r R* * PROPOSITION III.—PROBLEM. 12. The volume of a cylinder is equal to the product of its base by its uttitude. Let the volume of the cylinder be denoted by F, its base by B, and its altitude by H. Let... | |
 | George Albert Wentworth - Geometry - 1894 - 456 pages
...cylinder of revolution, T= tirR x H+ 2TrI? = 2vB(II+ B). PROPOSITION XXXIII. THEOREM. 649. The volume of a cylinder is equal to the product of its base by its altitude. a Let V denote the volume, B the base, and H the altitude, of the cylinder AG. To prove V=BxH.... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...area, T the total area, H the altitude, and R the radius, of a cylinder of revolution, 649. The volume of a cylinder is equal to the product of its base by its altitude. 650. Cor. If V denotes the volume, .Rthe radius, If the altitude, of a cylinder of revolution,... | |
 | George Albert Wentworth - Geometry - 1899 - 498 pages
...of a cylinder of revolution, S=2Trfi XH; PROPOSITION XXXIV. THEOREM. 699. The volume of a circular cylinder is equal to the product of its base by its altitude. Let V denote the volume, B the base, and H the altitude, of the circular cylinder GA. To prove that V =... | |
 | George Albert Wentworth - Geometry, Solid - 1899 - 246 pages
...XH; T = 2irBXH + 2 irS'1 = 2 7r-B (H + -B). PROPOSITION XXXIV. THEOREM. 699. The volume of a circular cylinder is equal to the product of its base by its altitude. Let V denote the volume, B the base, and H the altitude, of the circular cylinder GA. To prove that V =... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 246 pages
...T = 2TrRxH + 2 TrJi' 2 = 2 7r.fi (H + B). PROPOSITION XXXIV. THEOREM. 699. The volume of a circular cylinder is equal to the product of its base by its altitude. Let V denote the volume, B the base, and H the altitude, of the circular cylinder GA. To prove that V —... | |
 | Alan Sanders - Geometry - 1903 - 396 pages
...yd. Find the perimeter of a right section. PROPOSITION VI. THEOREM < 1018. The volume of a circular cylinder is equal to the product of its base by its altitude. Let V denote the volume of the circular cylinder, B its base, and a its altitude. Let 7< denote the volume... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...of a cylinder of revolution, S=2irRX H; XH PROPOSITION XXXIV. THEOREM. 699. The volume of a circular cylinder is equal to the product of its base by its altitude. Let V denote the volume, B the base, and H the altitude, of the circular cylinder GA. To prove that V =... | |
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The volume of a cylinder is equal to the product of its base by its altitude. Let the volume of the cylinder be denoted by V, its base by B, and its altitude by H. 
